Dividing · Grade 5
In Grade 5 you get fluent with: dividing by a 1-digit number with remainders and remainders in word problems.
Dividing shares a number into equal groups, or finds how many equal groups fit. For bigger numbers we use short division, and what to do with a remainder depends on the question.
Key facts
- Use the times tables backwards: 56 ÷ 8 = 7 because 7 × 8 = 56.
- To divide a 2-digit number, split it into parts the divisor goes into: 72 ÷ 3 = 60 ÷ 3 + 12 ÷ 3 = 24.
- Short division: divide each digit from the left, carrying the remainder to the next digit.
- Remainders: round up when everything must fit (buses, boxes); round down when only whole ones count (pieces, packs).
- Check a division by multiplying back: quotient × divisor + remainder = number.
Worked examples
Example 1
Use a times table fact to work out 56 ÷ 8.
Answer: 7
Example 2
Work out 72 ÷ 3.
Answer: 24
Example 3
1,476 ÷ 6
Answer: 246
Example 4
A carton holds 6 eggs. How many cartons are needed for 80 eggs?
Answer: 14
Example 5
Work out 43 ÷ 5, and give the remainder.
Answer: 8 remainder 3
Example 6
A ribbon 250 cm long is cut into pieces 8 cm long. How many whole pieces can be cut?
Answer: 31 pieces